Parametrized higher category theory and higher algebra: A general introduction

Abstract

We introduce the study of parametrized higher category theory and parametrized higher algebra, and we describe the main theorems of the series of Exposés that make up the monograph.

arXiv comment11 pages

References in corpus (3)

• G-symmetric monoidal categories of modules over equivariant commutative ring spectra
• Cyclonic spectra, cyclotomic spectra, and a conjecture of Kaledin
• Fibrations in $\infty$-category theory

Cited by in corpus (10)

• G-symmetric monoidal categories of modules over equivariant commutative ring spectra
• On the parametrized Tate construction and two theories of real $p$-cyclotomic spectra
• Eilenberg-MacLane spectra as equivariant Thom spectra
• Multiplicativity of the idempotent splittings of the Burnside ring and the G-sphere spectrum
• Genuine equivariant factorization homology
• $C_2$-equivariant Homology Operations: Results and Formulas
• Equivariant nonabelian Poincaré duality and equivariant factorization homology of Thom spectra
• The genuine operadic nerve
• Parametrized spectra, a low-tech approach
• Parametrized higher category theory II: Universal constructions